SOLUTION: . Dave has 8 more dimes than nickels in his pocket. In total, the coins in his pocket are worth $3.05. How many of each type of coin does he have?

Question 757704: . Dave has 8 more dimes than nickels in his pocket. In total, the coins in his pocket are worth
$3.05. How many of each type of coin does he have?

Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Dave has 8 more dimes than nickels in his pocket. In total, the coins in his pocket are worth $3.05. How many of each type of coin does he have?
--------------
Quantity Eq: d = n + 8
Value: 10d + 5n = 305 cents
-----------------------------
Substitute for "d" and solve for "n":
10(n+8)+5n = 305
15n + 80 = 305
15n = 225
n = 15 (# of nickels)
----
Solve for 'd:
d = n+8
d = 23 (# of dimes)
=========================
Cheers,
Stan H.
=========================

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of nickels he has
Let = number of dimes he has
given:
(1)
(2) ( in cents )
---------------------
(1)
Multiply both sides by
and add (1) and (2)
(1)
(2)

and, since
(1)
(1)
(1)
(1)
He has 15 nickels and 23 dimes
check:
(2)
(2)
(2)
OK

RELATED QUESTIONS
how can i find the answer? Dave has eight more dimes than nickels in his pocket. In... (answered by ikleyn)
Mike has 19 coins in his pocket worth a total of $2.35. He only has nickels, dimes and... (answered by ikleyn)
Mike has 19 coins in his pocket worth a total of $2.35. He only has nickels, dimes and... (answered by josgarithmetic)
Mike has 19 coins in his pocket worth a total of $2.35. He only has nickels, dimes and... (answered by Boreal,MathTherapy)
Tony has 18 coins in his pocket that worth $2.30. The pocket contains only quarters and... (answered by robertb)
Andres has 23 coins in his pocket. The coins consist of nickels and dimes. If the value... (answered by fion23)
Joey has 24 coins in his pocket. The coins are all nickels and dimes. The total value of... (answered by ikleyn)
Frankie has 22 coins in pocket worth a total of $4.75. If Frankie only has dimes and... (answered by gabriel24)
Mukul has $3.55 in quarters, dimes and nickels in his pocket. He has three more dimes... (answered by josgarithmetic)